a sequence is defined recursively by the formula (f(n + 1) = f(n) + 3). the first term of the sequence is (-4). what is the next term in the sequence?

-7
-1
1
7

Question

a sequence is defined recursively by the formula (f(n + 1) = f(n) + 3). the first term of the sequence is (-4). what is the next term in the sequence?

-7
-1
1
7

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Arithmetic Sequences", "Recursive Formulas" ], "new_concepts": [], "current_concepts": [ "Arithmetic Sequences", "Recursive Formulas" ] } ## Identify the given values and recursive formula $$ \begin{aligned} f(1) &= -4 \ f(n + 1) &= f(n) + 3 \end{aligned} $$ ## Calculate the next term $$ \begin{aligned} f(2) &= f(1) + 3 \ f(2) &= -4 + 3 \ f(2) &= -1 \end{aligned} $$

-7

-1

1

7

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Recursive Formulas" ] }

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Explanation:

Identify the given values and recursive formula

Calculate the next term

Answer: